If it will simply delay the debates until the qualifications are closed next spring, and then carry all the candidates on a tour of debates, it can provide a service to the state.

If it failed on occasion to elect its candidates for general state offices by majorities, the failure was due to a lingering remnant of the Know-Nothing party, which called itself the American Republican party.

If a party has gained more direct mandates in a Land than it is entitled to according to the results of the second vote, it does not forfeit these mandates because all directly elected candidates are guaranteed a seat in the Bundestag.

If, however, the set of allowed candidates is expanded to the complex numbers, every non-constant polynomial has at least one root ; this is the fundamental theorem of algebra.

If no candidates achieve a majority of the votes, there is a runoff election between the two candidates with most votes.

If the candidate receives less than 5 % of the vote, the government funds € 800, 000 to the party (€ 150, 000 paid in advance ) Advertising on TV is forbidden but official time is given to candidates on public TV.

If voters are explicitly allowed to abstain from rating certain candidates, as opposed to implicitly giving the lowest number of points to unrated candidates, then a candidate's score would be the average rating from voters who did rate this candidate.

If no candidate has an absolute majority of votes ( i. e. more than half ) in the first round, then the two candidates with the most votes proceed to a second round, from which all others are excluded.

If no single candidate has an absolute majority of votes then only the two highest polling candidates progress to the second count all other candidates are excluded and their votes redistributed according to the recorded preferences for continuing candidates.

If a root candidate does not satisfy the equation, it can be used to shorten the list of remaining candidates.

If he or she fails again, then the King presents other candidates until one gains confidence.

If no candidate succeeds in passing this threshold, a second round of voting is held with the participation of the two candidates who received the largest and second largest number of votes respectively.

If a coalition wins more than 55 % of the vote, only 6 candidates from the " regional list " will be elected and the number of those elected in provincial constituencies will be 53.

If none of the candidates obtains such majority, a second poll will take place 45 days later, at which the population will decide between the two candidates that had the best results during the first poll.

If the experiment is repeated using approval voting, where voters are encouraged to vote for as many candidates as they approve of, then the winner is much more likely to be any one of the five marbles, because people who prefer green will be able to vote for every one of the green marbles.

If no candidate receives a majority of votes, then there is a system by which losing candidates are eliminated from the contest and their votes are transferred to other candidates, until one gains a majority.

If the next unelected candidate has died or declines the offer, it is offered to each subsequent candidate on the list until one accepts the seat, such as was the case upon the resignation of Darren Hughes in March 2011, where Louisa Wall was elected after the five list candidates above her on the New Zealand Labour Party's list declined the seat.

If no candidate receives a majority, twice as many candidates pass the primary as can win in the general election, so a single seat election primary would allow the top two primary candidates to participate in the general election following.

If the method is applied to an infinite sequence ( X < sub > i </ sub >: i ∈ ω ) of nonempty sets, a function is obtained at each finite stage, but there is no stage at which a choice function for the entire family is constructed, and no " limiting " choice function can be constructed, in general, in ZF without the axiom of choice.

If not, the curve is subdivided parametrically into two segments, 0 ≤ t ≤ 0. 5 and 0. 5 ≤ t ≤ 1, and the same procedure is applied recursively to each half.

If an evacuated glass tube is equipped with two electrodes and a voltage is applied, the glass opposite of the negative electrode is observed to glow, due to electrons emitted from and travelling perpendicular to the cathode ( the electrode connected to the negative terminal of the voltage supply ).

If the earlier completion procedure is applied to a normed vector space, the result is a Banach space containing the original space as a dense subspace, and if it is applied to an inner product space, the result is a Hilbert space containing the original space as a dense subspace.

If the disc cannot be found, there must be " reasonable evidence " that the disc went out-of bounds or the lost disc penalty is applied.

If ultra-pure products are the goal, then further chemical separation must be applied.

To avoid debates about the possibility of in-vitro fertilization, artificial insemination, or cloning, the original Darwin Awards book applied the following " deserted island " test to potential winners: If the person were unable to reproduce when stranded on a deserted island with a fertile member of the opposite sex, he or she would be considered sterile.

If a function that is not injective is applied to both sides of a true equation, then the resulting equation will still be true, but it may be less useful.

If a chemical reaction is driven by an external applied voltage, as in electrolysis, or if a voltage is created by a chemical reaction as in a battery, it is an electrochemical reaction.

If applied to optical wavelengths, this manifests itself as a change in the colour of visible light as the wavelength of the light is increased toward the red part of the light spectrum.

If the magnetic field is applied by a solenoid, the sensor output is proportional to the product of the current through the solenoid and the sensor voltage.

If the rule is interpreted as defining an inertial frame, then we have to be able to determine when zero net force is applied.

If the applied pump power is too small, the gain will never be sufficient to overcome the resonator losses, and laser light will not be produced.

If the applied voltage is large enough, the liquid crystal molecules in the center of the layer are almost completely untwisted and the polarization of the incident light is not rotated as it passes through the liquid crystal layer.

If an electric field of one particular polarity is applied for a long period of time, this ionic material is attracted to the surfaces and degrades the device performance.

If a force is applied to a particle for a time interval, the momentum of the particle changes by an amount

If a and b are distances from the fulcrum to points A and B and if force F < sub > A </ sub > applied to A is the input force and F < sub > B </ sub > exerted at B is the output, the ratio of the velocities of points A and B is given by a / b, so the ratio of the output force to the input force, or mechanical advantage, is given by

If the inverting input is held at ground ( 0 V ) directly or by a resistor, and the input voltage V < sub > in </ sub > applied to the non-inverting input is positive, the output will be maximum positive ; if V < sub > in </ sub > is negative, the output will be maximum negative.

If the voltage to be sensed, E < sub > i </ sub >, is applied to op amp's (+) input, the result is a noninverting positive-level detector: when E < sub > i </ sub > is above V < sub > ref </ sub >, V < sub > O </ sub > equals + V < sub > sat </ sub >; when E < sub > i </ sub > is below V < sub > ref </ sub >, V < sub > O </ sub > equals − V < sub > sat </ sub >.

If E < sub > i </ sub > is applied to the inverting input, the circuit is an inverting positive-level detector: When E < sub > i </ sub > is above V < sub > ref </ sub >, V < sub > O </ sub > equals − V < sub > sat </ sub >.

If the revenue the firm is receiving is greater than its total variable cost ( R > VC ) then the firm is covering all variable cost plus there is additional revenue (" contribution "), which can be applied to fixed costs.

If the same concept is correctly and non-arbitrarily applied to two individuals, there must be some resemblance or shared property between the two individuals that justifies their falling under the same concept and that is just the metaphysical problem that universals were brought in to address, the starting-point of the whole problem ( MacLeod & Rubenstein, 2006, § 3d ).

If the negated query can be refuted, i. e., an instantiation for all free variables is found that makes the union of clauses and the singleton set consisting of the negated query false, it follows that the original query, with the found instantiation applied, is a logical consequence of the program.

If an unmarried couple change residence to different countries, then the local law on where the couple is last domiciled is applied to them.